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Finding the Third Proportional to 57,071,796.75 and 125,051,215.50

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Solution

The third proportional to 57,071,796.75 and 125,051,215.50 is: 274,002,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071,796.75 : 125,051,215.50 = 125,051,215.50 : x
  2. Step 2: Convert to fraction form
    57,071,796.75/125,051,215.50 = 125,051,215.50/x
  3. Step 3: Cross multiply
    57,071,796.75x = 125,051,215.50 × 125,051,215.50
  4. Step 4: Simplify right side
    57,071,796.75x = 15,637,806,498,027,440
  5. Step 5: Solve for x
    x = 15,637,806,498,027,440/57,071,796.75
  6. Step 6: Final answer
    x = 274,002,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.